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Introduction to probability and statistics for engineers and scientists / Sheldon M. Ross.
- Format:
- Book
- Author/Creator:
- Ross, Sheldon M.
- Language:
- English
- Subjects (All):
- Mathematical statistics.
- Probabilities.
- Physical Description:
- 1 online resource (641 p.)
- Edition:
- 3rd ed.
- Place of Publication:
- Amsterdam ; London : Elsevier Academic Press, c2004.
- Language Note:
- English
- Summary:
- This updated classic provides a superior introduction to applied probability and statistics for engineering or science majors. Author Sheldon Ross shows how probability yields insight into statistical problems, resulting in an intuitive understanding of the statistical procedures most often used by practicing engineers and scientists. Real data sets are incorporated in a wide variety of exercises and examples, and the enclosed CD-ROM includes software that automates the required computations. The Third Edition includes new exercises, examples, and applications, updated statistical mate
- Contents:
- Front Cover; Introduction to Probability and Statistics for Engineers and Scientists; Copyright Page; Contents; Preface; Chapter 1. Introduction to Statistics; 1.1 Introduction; 1.2 Data Collection and Descriptive Statistics; 1.3 Inferential Statistics and Probability Models; 1.4 Populations and Samples; 1.5 A Brief History of Statistics; Chapter 2. Descriptive Statistics; 2.1 Introduction; 2.2 Describing Data Sets; 2.3 Summarizing Data Sets; 2.4 Chebyshev's Inequality; 2.5 Normal Data Sets; 2.6 Paired Data Sets and the Sample Correlation Coefficient; Chapter 3. Elements of Probability
- 3.1 Introduction3.2 Sample Space and Events; 3.3 Venn Diagrams and the Algebra of Events; 3.4 Axioms of Probability; 3.5 Sample Spaces Having Equally Likely Outcomes; 3.6 Conditional Probability; 3.7 Bayes' Formula; 3.8 Independent Events; Chapter 4. Random Variables and Expectation; 4.1 Random Variables; 4.2 Types of Random Variables; 4.3 Jointly Distributed Random Variables; 4.4 Expectation; 4.5 Properties of the Expected Value; 4.6 Variance; 4.7 Covariance and Variance of Sums of Random Variables; 4.8 Moment Generating Functions; 4.9 Chebyshev's Inequality and the Weak Law of Large Numbers
- Chapter 5. Special Random Variables5.1 The Bernoulli and Binomial Random Variables; 5.2 The Poisson Random Variable; 5.3 The Hypergeometric Random Variable; 5.4 The Uniform Random Variable; 5.5 Normal Random Variables; 5.6 Exponential Random Variables; 5.7 The Gamma Distribution; 5.8 Distributions Arising From the Normal; 5.9 The Logistics Distribution; Chapter 6. Distributions of Sampling Statistics; 6.1 Introduction; 6.2 The Sample Mean; 6.3 The Central Limit Theorem; 6.4 The Sample Variance; 6.5 Sampling Distributions From a Normal Population; 6.6 Sampling From a Finite Population
- Chapter 7. Parameter Estimation7.1 Introduction; 7.2 Maximum Likelihood Estimators; 7.3 Interval Estimates; 7.4 Estimating the Difference in Means of Two Normal Populations; 7.5 Approximate Confidence Interval for the Mean of a Bernoulli Random Variable; 7.6 Confidence Interval of the Mean of the Exponential Distribution; 7.7 Evaluating a Point Estimator; 7.8 The Bayes Estimator; Chapter 8. Hypothesis Testing; 8.1 Introduction; 8.2 Significance Levels; 8.3 Tests Concerning the Mean of a Normal Population; 8.4 Testing the Equality of Means of Two Normal Populations
- 8.5 Hypothesis Tests Concerning the Variance of a Normal Population8.6 Hypothesis Tests in Bernoulli Populations; 8.7 Tests Concerning the Mean of a Poisson Distribution; Chapter 9. Regression; 9.1 Introduction; 9.2 Least Squares Estimators of the Regression Parameters; 9.3 Distribution of the Estimators; 9.4 Statistical Inferences About the Regression Parameters; 9.5 The Coefficient of Determination and the Sample Correlation Coefficient; 9.6 Analysis of Residuals: Assessing the Model; 9.7 Transforming to Linearity; 9.8 Weighted Least Squares; 9.9 Polynomial Regression
- 9.10 Multiple Linear Regression
- Notes:
- Includes index.
- Previous ed.: 2000.
- ISBN:
- 9786610961474
- 9781280961472
- 1280961473
- 9780080470313
- 0080470319
- OCLC:
- 476038567
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